Math wizards
03-15-2006, 04:07 PM
#1
3.0 BAR
Thread Starter
Join Date: Dec 2002
Posts: 9,203
Math wizards
I know this should be simple as hell, but for some reason I don't see it 
How is the theorem:
If the sum of three positive quantities s, t, and u is constant, then their product stu is maximum if and only if s=t=u
a consequence of the arithmetic-geometric mean inequality?
arithmetic-geometric mean inequality is defined as: If a, b, and c are nonnegative real numbers, then ³√(abc) ≤ (a+b+c)/3, with equality holding if and only if a=b=c.
I know this should be cake, but the hamster in my head isn't turning the wheel. I should know this ----, learned it years ago, but I am just blank right now.
How is the theorem:
If the sum of three positive quantities s, t, and u is constant, then their product stu is maximum if and only if s=t=u
a consequence of the arithmetic-geometric mean inequality?
arithmetic-geometric mean inequality is defined as: If a, b, and c are nonnegative real numbers, then ³√(abc) ≤ (a+b+c)/3, with equality holding if and only if a=b=c.
I know this should be cake, but the hamster in my head isn't turning the wheel. I should know this ----, learned it years ago, but I am just blank right now.
Sorry murdoc, dont have a legit answer for you... go smoke some weed it might help 
03-15-2006, 06:30 PM
#7
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Join Date: Jan 2005
Posts: 2,877
Re: Math wizards
theorem obviously comes from the word theory
theory = tested, not proven
who knows if this ---- is even correct wouldnt it be an equation if it was proven??
murdoc: sorry to babble in your thread but i doubt you're gonna get much help here :1
theory = tested, not proven
who knows if this ---- is even correct
wouldnt it be an equation if it was proven??murdoc: sorry to babble in your thread but i doubt you're gonna get much help here :1
03-15-2006, 06:31 PM
#8
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Join Date: Jan 2004
Posts: 5,708
Re: Math wizards
i really dont understand what your asking. you ask "a consequence of the arithmetic-geometric mean inequality" but arithmetic-geometric mean inequality is defined as: If a, b, and c are nonnegative real numbers, then ³√(abc) ≤ (a+b+c)/3, with equality holding if and only if a=b=c . seems like what your asking is the definition. i dont know maybe im stupid and dont see it either. so i mean technically you can assume its true :P
definitions are
1. An idea that is demonstrably true or is assumed to be so.
2. A mathematical proposition that has been or is to be proved on the basis of explicit assumptions.
so i mean technically you can assume its true :Pdefinitions are
1. An idea that is demonstrably true or is assumed to be so.
2. A mathematical proposition that has been or is to be proved on the basis of explicit assumptions.
03-15-2006, 06:34 PM
#9
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Thread Starter
Join Date: Dec 2002
Posts: 9,203
Re: Math wizards
Originally Posted by BoosTedZSix
i really dont understand what your asking. you ask "a consequence of the arithmetic-geometric mean inequality" but arithmetic-geometric mean inequality is defined as: If a, b, and c are nonnegative real numbers, then ³√(abc) ≤ (a+b+c)/3, with equality holding if and only if a=b=c . seems like what your asking is the definition. i dont know maybe im stupid and dont see it either. so i mean technically you can assume its true :P
definitions are
1. An idea that is demonstrably true or is assumed to be so.
2. A mathematical proposition that has been or is to be proved on the basis of explicit assumptions.
so i mean technically you can assume its true :Pdefinitions are
1. An idea that is demonstrably true or is assumed to be so.
2. A mathematical proposition that has been or is to be proved on the basis of explicit assumptions.
how about that, can you guys do that?fucken ---- is due in an hour too. Maybe it's time for some grade A BS
03-15-2006, 06:38 PM
#10
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Join Date: Dec 2003
Posts: 0
Re: Math wizards
Procrastination: (noun) - The deferment or putting-off of an action or task, usually by focusing on some other distraction (compare temporisation). It is Latin for "foremorrowing," or making some such of tomorrow.
I'll ask my step-dad as soon as he gets back from his jog, he's good with this stuff.
